GCF of 5471/354, 1669/1120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5471/354, 1669/1120 i.e 1/198240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5471/354, 1669/1120.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5471/354,1669/1120?
Given fractions are 5471/354,1669/1120
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5471/354,1669/1120, numerators are 5471,1669
Denominators are 354,1120
The GCF of 5471,1669 is 1 .
LCM of 354,1120 is 198240.
The greatest common factor of 5471/354,1669/1120 = [GCF of 5471,1669]/[LCM of 354,1120]= 1/198240
Therefore, the GCF of 5471/354,1669/1120 is 1/198240.
To find the highest common factor of 5471,1669, we have to find the factors of both numbers and list the highest common factor.
The factors of 5471 are 1, 5471
The factors of 1669 are 1, 1669
The HCF of 5471,1669 is 1.
Lets's calculate GCF of 5471,1669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5471,1669 By Matching Biggest Common Factor Method
Now, list down the factors of 5471
:1,5471
Now, list down the factors of 1669
:1,1669
Greatest Common Factor
We found the factors 5471,1669 . The biggest common factor number is the GCF number.
So the greatest common factor 5471,1669 is 1.
Lets's calculate LCM of 354,1120
| 2 | 354, 1120 |
| 177, 560 |
∴ So the LCM of the given numbers is 2 x 177 x 560 = 198240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198240
Therefore, the GCF of Fractions 5471/354,1669/1120 is 1/198240
Least Common Multiple of 354,1120 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 354,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,1120) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,1120) x common factors =2 x 1 = 2
LCM(354,1120) = ( 354 × 1120 ) / 2
LCM(354,1120) = 396480 / 2
LCM(354,1120) = 198240
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FAQs on GCF of Fractions of 5471/354, 1669/1120
1. What is the HCF of 5471,1669?
The HCF of 5471,1669 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5471/354, 1669/1120?
Answer: GCF of Numerators as per given numbers 5471/354, 1669/1120 is
GCF of Numerators i.e. for 5471,1669 is 1
LCM of denominators i.e. for 354,1120 is 198240.
Thus, GCF of Fractions is 1/198240.Finally, GCF of Fractions for 5471/354, 1669/1120 is 1/198240.